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Finding the Third Proportional to 613,478,999.81 and 971,578,167.19

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Solution

The third proportional to 613,478,999.81 and 971,578,167.19 is: 1,538,706,516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,478,999.81 : 971,578,167.19 = 971,578,167.19 : x
  2. Step 2: Convert to fraction form
    613,478,999.81/971,578,167.19 = 971,578,167.19/x
  3. Step 3: Cross multiply
    613,478,999.81x = 971,578,167.19 × 971,578,167.19
  4. Step 4: Simplify right side
    613,478,999.81x = 943,964,134,955,421,696
  5. Step 5: Solve for x
    x = 943,964,134,955,421,696/613,478,999.81
  6. Step 6: Final answer
    x = 1,538,706,516.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.